133 ?
Find no of points having integral coordinates on line 3x+5y=2007 in first quadrant excluding coordinate axes.....
.........................(FIITJEE AITS )
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3 Answers
Rohan Ghosh
·2008-12-11 23:00:14
it means x>0 and y>0
and
3x=2007-5y
=> x = 669-5y/3
x is an integer
=> 5y/3 is an integer ..
y is divisible by 3 ..
and 669-5y/3>0
=>
y<2007/5 = >
y<=401
no of multiples of three from 1 to 401
we see that 3 divides 399
399/3=133
hence 133 points